Acoustic Target Reconstruction Using Geometrical Optics Phase Information
NEW JERSEY INST OF TECH NEWARK DEPT OF MATHEMATICS
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In this note a simple algorithm, which uses the phase information from the geometrical optics limit, to construct the shape of an object is presented. Essentially, the phase in the back scattered direction determines the equation of the tangent plane at the unique, but unknown, specular point. This plane depends upon the two spherical angles theta and phi which describe the incident wave direction. The observation that the tangent plane envelopes the obstacle as theta and phi are varied, allows the derivation of an explicit formula for the equation of the surface in terms of the measured scattered phase. An analogous two-dimensional formula is also presented.
- Acoustic Detection and Detectors